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Finding the Fourth Proportional to 8,364.04, 12,493.09 and 7,884.22

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Solution

The fourth proportional to 8,364.04, 12,493.09 and 7,884.22 is: 11,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.04 : 12,493.09 = 7,884.22 : x
  2. Step 2: Convert to fraction form
    8,364.04/12,493.09 = 7,884.22/x
  3. Step 3: Cross multiply
    8,364.04x = 12,493.09 × 7,884.22
  4. Step 4: Simplify right side
    8,364.04x = 98,498,270.04
  5. Step 5: Solve for x
    x = 98,498,270.04/8,364.04
  6. Step 6: Final answer
    x = 11,776.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.